Method of performing division.



"0. H. TALLMADGE.

7 METHOD OF PERFORMING DIVISION.

APPLICATION FILED APR. 5, 1909.

Patented Dec. 17, 1912.

2 SHEET S-SHEET 1.

G. H. TALLMADGE. METHOD OF PERFORMING DIVISION. APPLICATION FILED APR. 5, 1909.

1,047,854; atented Dec. 17, 1912.

2 SHEETS-SHEET 2.

section.

UNITED STATES PATENT. OFFICE.

CHARLES H. TALLMADGE, 0F GHICAGO, ILLINOIS, ASSIGNOR, BY MESNE ASSIGNMENTS, TO WILLIAM E. HEATH. OF BUFFALO, NEW YORK.

METHOD OF PERFORMING DIVISION.

Specification of Letters Patent.

Patented Dec. 17,1912} Application filed'April 5, 1909. Serial No. 437,892.

number divided by another, and the object.

of the invention is to provide a method for arriving at the result directly, without any of the intervening steps and processes commonly employed.

-My method consists in measuring outor displacing into a receptacle or other measuring'devic'e a definite amount of any desired medium, for example a liquid, gas or other suit-able physical measurable material, or a measurable force, such as that due to gravity, electricity or the influence of a spring, such definite'amount of medium representing the dividend. The aforesaid rcceptacle or other measuring device is graduated according to the same basis of measure ment as is employed in measuring said 1ncdium, and in order that said measuring device may constitute a proper divisor for the said dividend. I vary its capacity, or, inthe case of a force mediui'n, I varv its coefficient of yield, in such manner that the Capacity or yield will bear the same ratio to the amount of medium displaced or force impressed, as the actual numerical divisor does to the actual numerical dividend. The quotient may then be read directly by noting the degree to which the said amount of medium enters or influences the receptacle or measuring device employed.

readily understood and practised, I will now give a concrete example of the mannerin which it may be practised and for this purpose reference is made to the accompanying drawings, in which:

Figure 1 is a perspective view of an'apparatus'in ivhich liquid may be employed as the operating medium; Fig. 2 is a top .view of a suitable type of valve, and Fig. 3 is a front elevation of the apparatus, partly in Referring to said drawings, in which like reference characters denote similar parts, the receptacle (1 is prov ded with a plunger In order that my method may be more Z operated by a rod nor any other suitable device so constructed that it may cause the displacement from the receptacle of a delinite quantity of the liquid in any desired amount. It is desirable toprovide a valve 7) in said plunger adapted to'permit liquid to pass up through itbut prevent its passing downward therethrough. By this means if leakage should occur around the edges of the plunger the liquid may be transferred again to the upper side of the plunger-by merely lowering the plunger in therecepti cle and thus forcing the liquid up th-rbli gh said valve. Communicating; with the top of said. receptacle are vertical 'glass, tubesof diilercntorders, representing units, tens 'and hundreds.

All the tubes in the units order have the 7 same cross sectional area, and the samei's true of the tubes in each of the otherorders; 'I he cross sectional area of each tube in- 'the tens order. is. ten times that of a tube inthe units order and the cross sectional area of I each tube in the hundreds order is ten times that of a'tubc 1n. the un ts order y the cross sectional area of each tube in the hunin the tens order. Said tubes. areiopen top and bottom and at. the bottom have liquid tight. connection with the top of the receptacle a.

dreds order is ten times that of each tube The fronttubeof each of the orders cross sectional area of one square centimeter, and one cubic centimeter and said tubewill be graduated in: centimeters.

. Means are provided at the base or zero point of all the tubestor shutting ofi combelow. Suitable means for this is illustrated in Fig. 2 wherein is shown, a sliding valve 6 having its inner end e fblank and having holes 1, .2, 3,4, 5,6, 7,8, 9 in its outer end adaptedto registerwith all of the units- Inunication between them and the receptacle 1:

tubes when the valve is in one extreme position. Vhen said valve is in the other extreme position with the blank portion 6 beneath the tubes they will all be closed. The front tube a may be opened by inserting the valve sufiiciently to bring the aperture 1 beneath the tube 16 Three or four of the units tubesmay be opened by pushing the slide farther in so as to bring three or four of: the apertures beneath said units tubes as the case may be. In this 'way the number of units tubes in communication with the receptacle may be controlled. The tens and hundreds tubes are controlled by other valves and g in a similar manner.

' While the means for operating the plunger to cause it to displace the amount of liquid called for by the terms of the problem without exceeding the scope of the invention, viewed in its broadest aspect, suitable means are shown in the drawings and will now be described.

The receptacle a is mounted upon a base j supported upon any suitable stand is. The rodc is threaded and is raised or lowered by means of a nut m which is rotatable but is held from vertical movement by being located between said base and stand as best shown in Fig. 3. This nut might of course be rotated by hand but in the preferred construction is provided with bevel gear teeth may be greatly varied adapted to mesh with the bevel pinion a secured to a shaft 0 journaled in the base j and rotated by means of a crank p or other suitable mechanism. An important advantage in this construction is that itenables the vertical position of the rod 0 to be controlled to a nicety.

The operator tical movement to give to the rod 0 and plunger 2) to displace the proper amount of liquid from the vessel 0 into the tubes by means of a registering device which may be variously constructed but by preference consists of a member 9 which is vertically adjustable upon the rod 0,1being'held in any desired position by means of the set screw r.

Said member 9 is provided with a scale 9? adapted to be read by the aid of a pointer s which is supported upon the stand is and by preference is vertically adjustable as shown in Fig. 1. To obtain vertical adjustment of the pointer the stand has a slot Z61 adapted to receive the shank of a set screw as shown. 1

In operation, let it be assumed thatit is desired to divide-500 by 125. The valvec will first be manipulated in such manner that the first five of the units tubes a, 1/ 213, u" and u will be open at the bot-tom and the remainder of the units tubes closed. The valve f will be brought to such position that the first two tens tubes t and t will be open at the bottom and the remainder of the tens tubes closed. The slide 9 will be brought-to such position that only the first tube ill will be open. Under. these circumstances it will be seen that there will be open one of the hundreds tubes, two of the tens tubes, and

five of the units tubes. This corresponds to the divisor which is 125. The crank p will now be rotated in such a manner as to bring the liquid to a level with the zero points in said open tubes, the plunger 1) under these circumstances being at or near the bottom of the receptacle. The pointer s and scale member q will then be adjusted to such relative position that the pointer will stand at the zero point on the scale 9 After the -machine has thus been set up to divide by 125 thecrank 79 will be rotated to raise the plunger until the 500 mark on the scale comes opposite/to the pointer. This indicates that 500 units of liquid have been dis placed into the open tubes. Thereupon it will be found that the level of the liquid in the open tubes will stand at t, which it will be observed is the quotient of 500' divided by 125. This reading is made direct, and no intervening or partial processes or mental acts are necessany. The theory will be readily understood, for it is obvious that if two of any given order of tubes are open -the liquid will rise only half as high therein as if but one of them were open. This is the divisor will halve the quotient.

As a result of my method of dividing not only are the intermediate processes eliminated but the result or quotient is obtained substantially instantaneously and there is,

founded upon the principle that doubling practically speaking, no' possibility of error y in interpreting the result. determines how much ver- While my method 1s prunarily intended for the ready performance of division: it is in a sense adapted for multiplication, for by filling the same tubes as before to a point on the scale d on a level with 4 it would be found upon lowering the plunger to bring the level to O, that SOQ units of liquid would be displace'd into the receptacle a.

WVhat .I claim as new and desire to secure by Letters Patent, i's: 1. Calculating apparatus comprising a receptacle for liquid, tubes, communicating therewith and provided with means for reading the level of the liquid therein, said tubes being of different sizes, nine tubes to a size, a tubeof one size having ten times the cross sectional area of a tube of the next therewith, said tubes being arranged in a plurality of. groups nine, to a group, one group representing units and another tens,

being ten times the cross sectional area of a tube of the next smaller -size, means for controlling the communication between said receptacle and the different tubes, a plunger for displacing the liquid from said receptacle to said. tubes and means for operating said plunger.

4. in calculating apparatus, the combination of a receptacle for liquid, tubes COTE-Y municating therewith and provided With means for readingthelevel of the liquid therein, said tubes. being of dillerent sizes, nine tubes to a size, a tubelof one size having ten times the cross sectional area of a tube of the next smaller size, means. for controlling the communication between said receptacle and the different tubes, a plunger for 'forcing the liquid from said receptacle to said tubes, means for operating said plunger and means whereby the amount of liquid displacedby saidplunger into said tubes maybe measured.

5. 111 calculating apparatus, the combination ofa.--, receptacle for liquid, tubes communicating 'thenwrith and provided with means for reading the level. of the liquid therein, said tubes being of different sizes, nine tubes to a size, a tube of onesize hav ing ten times the cross sectional area 01". a tube of smaller size, means for controlling the communication between said receptacle and the differenttubes, a plunger for tore ing the liquid from said receptacle into said tubes, a rod for operating said plunger and means connected with said rod for measuring the movement thereof to thereby deter mine the amount of liquid displaced from said receptacle into said tubes.

6. In calculating apparatus, the combinaion of a rece tacle for li uid, tubes coin Inunicating therewith and provided with means for reading the level of the liquid therein, said tubes being of dilierent sizes, nine tubes to a size, a tube of one size having ten times the cross sectional area of a tube of smaller size, means for controlling the communication between the receptacle and the different tubes, 2. plunger for fore ing the liquid from said receptacle to said tubes, and screw mechanism for operating said plunger. r

7. In calculating apparatus, the combination of a receptacle for liquid, tubes communicating therewith and provided with means for reading the level of the liquid therein, said tubes being of'dii'ferent sizes,

nine tubes to a size, a tube of one size hav ing ten times the cross sectional area of a tube of smaller size, means for controlling the communication between the receptacle and the different tubes, a. plunger for forcing the liquid from said receptacle to said tubes, and means adapted to operate said plunger to displace a definite amount of 1.

liquid from said receptacle into said tubes, the plunger-operatingmeans comprising a rod connected to said nlun er a nut screwing onto said rod and held ,from movement in the direction of travel of the plunger, and means for rotating said nut.

8. In calculating apparatus, the combination of a rece taole for li uidtubes communicating therewith and provided with means for reading the level of the liquid therein, said tubes being of different sizes, nine tubes to a size, a tube of one size having ten times the cross sectional area of a tube of smaller size, means for controlling the communication between the receptacle and the diitlerent tubes, a plunger for forcing the liquid from said receptacle to said tubes, and means adapted to operate-said 5 plunger to displace a definite amount of liquid fromsaid receptacle into said tubes,

the plungenoperating means comprising a rod connected to said plunger, a nut screwing onto said rod and held irom movement in the direction of travel of the plunger, and hand operated gearing for rotating said nut.

9. In calculating appa 'atus, the combination of a receptacle for" liquid, tubes com- 10.5

ten times the cross sectional area of a tube of smaller size, means for controlling the communication between said receptacle and the difterent tubes, a plunger for forcing the liquid from said receptacle (0 said tubes,

means for operating said plunger, and a registering device for indicating the, amount of liquid displaced by tubes, said registering device comprising two members one of which is stationary and the other is adapted to move with said plunger,

one of the members of said rc'gisteringdevice having a graduated scale thereon.

10. In calculating apparatus, .the combination of a receptacle for liquid, tubes communicating therewith and provided with means for reading the level of the liquid therein, said tubes being of diilerentsizes, nine tubes to a size, a tube of one size having ten times the cross sectional area of a tube. of smallersize,.means for controlling 13o said plunger into said the communieationbetween said receptacle and the different tubes, a plunger for torcing the liquid from said receptacle to said tubes, means for operating said plunger, and two coiiperating members for registering the amount of liquid displaced'from said receptacle, one of said cooperative members being adjustable with reference to said plunger. 4

p 11. In calculating apparatus, the COI'Ilblnation of a receptacle for liquid, tubes communicating therewith and provided with means for reading the level of the liquid therein,said tubes being of different sizes,

' tacle,

nine tubes to a size, a tubeor" one size having ten times the cross sectional-mica of a nine tubes to a size, a tube of one size hav-' ing ten times the cross sectional area of a tube of smaller size, means for controlling the communication between Sftld receptacle and the different tubes, a plunger for torcing the liquid from said receptacle to said tubes, means for operating said plunger,-

and two coiiperative members for registering the amount of liquid displaced from said re ceptacle, one of said cooperative members being stationary and the other being adapted to move with the plunger and being adjustable relatively thereto.

13. In calculating apparatus, the combi nation of a receptacle for liquid, tubes communicating therewith and provided with means for reading the level of the'liquid therewith and. reading the level of the liquid tubes being of different sizes, nine tubes to' therein, said tubes being of different sizes, nine tubes to a size, a tube of one size having ten-times the cross sectional area of a tube of smaller size, means for controlling the communication between said receptacle and the different tubes, a plunger for fore:

ing the liquid from said receptacle to said tubes, means for operating said plunger, and two cooperative members for registering the amount of liquid displaced from said receptacle, one of said members being stationary and the other movable with the plunger and both being adjustable substmntially as described. I

14..In calculating apparatus, the combination of a receptacle't'or liquid, tubes communicating therewith and provided with means for reading the level of the liquid therein, said tubes being of ditlerent sizes, nine tubes to a size, a tube of one size havin ten times the cross sect-io nal area of a tu e of smaller size, means for controlling the communication between said receptacle and the difierent tubes, a plunger for fore ing the liquidfrom said receptacle into'said tubes, a piston rod for operating said plunger, a'scale member adjustably mounted on said rod and a pointer for indicating the readings on said scale member;

15. Calculating apparatuscomprising a receptacle for prov ded wlth means; for therein, said a size, a tube of one size having ten times the cross sectional area of a tube of the next smaller size, bland operated valves for shutting off the communication between said reliquid, tubes communicating ceptacle and the different tubes and means i for displacing a definite quantity of liquid from said receptacle into said tubes.

In witness ,whereofl I have hereunto sub-- scribed my name in the presence of two wit- CHARLES- H. TALLMADGE. WVitnesses Howmu) M. Cox, C. J. Grnusrorrnn nesses. 

